"The term “natural born” citizen has a long history in British common law."
Absolutely wrong. "Citizen" is not a British term for someone born with allegiance to a nation. The British term is "Subject", and you will find "natural born subject" all throughout British common law, but you will not find "Citizen" in it at all.
Our usage of "Citizen" comes from Switzerland, which at the time was the only nation in the world that used the word "Citizen" to mean a member of a nation.
The word "citizen" was little used in the English of the time, and when it was, it meant "City Dweller", not member of a nation.
Subject is the only word the British ever used, and guess what? "Subjects" were required to have perpetual allegiance to the crown, and could not become "citizens", or even "subjects" of any other nation.
It was absolutely forbidden, according to both British Common Law and Statute law.
"Citizen" does not mean "Subject". "Citizens" are from Republics, and "Subjects" are from Monarchies.
The founders tossed out the British common law model when they adopted the Swiss "Citizen" model.
True. The founders were born subjects of the King but considered themselves to be natural born citizens of their respective States hence the language in the Constitution.